The present invention relates to a process for the production of five-membered or six-membered cyclic ethers, in particular of anhydropolyols, by acid-catalysed cyclodehydration of polyols that contain at least two hydroxyl groups with a spacing enabling ring formation-that is to say, preferably with a spacing of 4 or 5 C atoms. The invention is directed in particular towards the production of anhydrotetritols, anhydropentitols and, particularly preferred, anhydrohexitols, from tetritols, pentitols and hexitols, respectively.